Question:
Neeraj has agreed to mow a lawn, which is a 20 m × 40 m rectangle. He mows it with a 1 m wide strip. If Neeraj starts at one corner and mows around the lawn toward the centre, about how many times would he go round before he has mowed half the lawn?
Neeraj has agreed to mow a lawn, which is a 20 m × 40 m rectangle. He mows it with a 1 m wide strip. If Neeraj starts at one corner and mows around the lawn toward the centre, about how many times would he go round before he has mowed half the lawn?
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For circular or rectangular mowing patterns, approximate the area mowed by calculating the area of concentric rectangles.
Updated On: Aug 4, 2025
- 2.5
- 3.5
- 3.8
- 4
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The Correct Option is B
Solution and Explanation
The total area of the lawn is:
\[
\text{Area} = 20 \times 40 = 800 \, \text{m}^2.
\]
The mowed area after each round decreases as he mows in concentric strips. After \( n \) rounds, the area mowed is approximately the area of the outermost rectangle minus the area of the inner rectangle. We calculate the number of rounds required to mow half the lawn. The answer is approximately 3.5 rounds.
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